Finding the Third Proportional to 137,732 and 212,824

Step by Step Solution

1. Step 1: Write the proportion equation
   137,732 : 212,824 = 212,824 : x
2. Step 2: Convert to fraction form
   137,732/212,824 = 212,824/x
3. Step 3: Cross multiply
   137,732x = 212,824 × 212,824
4. Step 4: Simplify right side
   137,732x = 45,294,054,976
5. Step 5: Solve for x
   x = 45,294,054,976/137,732
6. Step 6: Final answer
   x = 328,856.44